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58
Wrapping interactions at strong coupling – the giant magnon
, 2008
"... We derive generalized Lüscher formulas for finite size corrections in a theory with a general dispersion relation. For the AdS5 × S⁵ superstring these formulas encode leading wrapping interaction effects. We apply the generalized µterm formula to calculate finite size corrections to the dispersion ..."
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Cited by 90 (3 self)
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We derive generalized Lüscher formulas for finite size corrections in a theory with a general dispersion relation. For the AdS5 × S⁵ superstring these formulas encode leading wrapping interaction effects. We apply the generalized µterm formula to calculate finite size corrections to the dispersion relation of the giant magnon at strong coupling. The result exactly agrees with the classical string computation of Arutyunov, Frolov and Zamaklar. The agreement involved a Borel resummation of all even looporders of the BES/BHL dressing factor thus providing a strong consistency check for the choice of the dressing factor.
A new derivation of Luscher Fterm and fluctuations around the giant magnon
 JHEP 0806 (2008) 036 [arXiv:0801.4463 [hepth
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Wrapping in maximally supersymmetric and marginally deformed N=4
 YangMills
"... In this note we give evidence for an equality of the spectra, including wrapping, of the SU(2)sector spin chain for real deformations β and β + 1/L, in marginally βdeformed N = 4 YangMills, which appears after relaxing the cyclicity constraint. Evidence for the equality is given by evaluating the ..."
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In this note we give evidence for an equality of the spectra, including wrapping, of the SU(2)sector spin chain for real deformations β and β + 1/L, in marginally βdeformed N = 4 YangMills, which appears after relaxing the cyclicity constraint. Evidence for the equality is given by evaluating the first wrapping correction to the energy of the undeformed magnon of momentum π, and the β = 1/2, physical magnon, for several spin chain lengths L. We also show that the term of maximal transcendentality coincides for both magnons to all L. As a byproduct we provide an expression for the first wrapping correction to the β = 1/2 singlemagnon operator dimension, valid for all even L. We then apply the symmetry to the magnon dispersion relation of N = 4, obtaining its first Using the techniques of integrability, much progress has been made towards confirming the complete identification of the planar spectra of N = 4 gauge theory and AdS5 × S5 string theory implied by the AdS/CFT correspondence [1]. First, the construction of the scattering matrix and the asymptotic Bethe ansatz [2, 3] turned reachable the
Interacting finitesize magnons
 J. Phys. A41
"... We explicitly construct a large class of finitevolume twomagnon string solutions moving on × S2. In particular, by making use of the relationship between the O(3) sigma model and sineGordon theory we are able to find solutions corresponding to the periodic analogues of magnon scattering and breat ..."
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We explicitly construct a large class of finitevolume twomagnon string solutions moving on × S2. In particular, by making use of the relationship between the O(3) sigma model and sineGordon theory we are able to find solutions corresponding to the periodic analogues of magnon scattering and breatherlike solutions. After semiclassically quantizing these solutions we invert the implicit expressions for the excitation energies in certain limits and find the corrections for the multimagnon states. For the breatherlike solutions we express the energies directly in terms of the action variable whereas for the scattering solution we express the result as a combination of corrections
Anomalous dimensions of finite size field strength operators
 in N=4 SYM,” arXiv:0710.0217 [hepth
"... ABSTRACT: In the ��super YangMills theory, we consider the higher order anomalous dimensions �of purely gluonic operators Tr�where�is a component of the selfdual field strength. We propose compact closed expressions depending parametrically on that reproduce the prediction of Bethe Ansatz equation ..."
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Cited by 7 (3 self)
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ABSTRACT: In the ��super YangMills theory, we consider the higher order anomalous dimensions �of purely gluonic operators Tr�where�is a component of the selfdual field strength. We propose compact closed expressions depending parametrically on that reproduce the prediction of Bethe Ansatz equations up to five loop order, including transcendental dressing corrections. The size dependence follows a simple pattern as the perturbative order is increased and suggests hidden relations for these special operators. Contents
Finitesize Effect of the Dyonic Giant Magnons in N = 6 super ChernSimons Theory
, 810
"... We consider finitesize effects for the dyonic giant magnon of the type IIA string theory on AdS4 × CP 3 by applying Lüscher µterm formula which is derived from a recently proposed Smatrix for the N = 6 super ChernSimons theory. We compute explicitly the effect for the case of a symmetric configu ..."
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We consider finitesize effects for the dyonic giant magnon of the type IIA string theory on AdS4 × CP 3 by applying Lüscher µterm formula which is derived from a recently proposed Smatrix for the N = 6 super ChernSimons theory. We compute explicitly the effect for the case of a symmetric configuration where the two external bound states, each of A and B particles, have the same momentum p and spin J2. We compare this with the classical string theory result which we computed by reducing it to the NeumannRosochatius system. The two results match perfectly. On leave from Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences,
Finite size giant magnons in the SU(2) × SU(2) sector of AdS4 ×�
, 810
"... We use the algebraic curve and Lüscher’s µterm to calculate the leading order finite size corrections to the dispersion relation of giant magnons in the SU(2) × SU(2) sector of AdS4 ×�3. We consider a single magnon as well as one magnon in each SU(2). In addition the algebraic curve computation is ..."
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Cited by 3 (1 self)
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We use the algebraic curve and Lüscher’s µterm to calculate the leading order finite size corrections to the dispersion relation of giant magnons in the SU(2) × SU(2) sector of AdS4 ×�3. We consider a single magnon as well as one magnon in each SU(2). In addition the algebraic curve computation is generalized to give the leading order correction for an arbitrary multimagnon state in the SU(2) × SU(2) sector. Contents 1
Foundations of the AdS5 × S⁵ Superstring Part I
, 2009
"... We review the recent advances towards finding the spectrum of the AdS5 × S⁵ superstring. We thoroughly explain the theoretical techniques which should be useful for the ultimate solution of the spectral problem. In certain cases our exposition is original and cannot be found in the existing literatu ..."
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We review the recent advances towards finding the spectrum of the AdS5 × S⁵ superstring. We thoroughly explain the theoretical techniques which should be useful for the ultimate solution of the spectral problem. In certain cases our exposition is original and cannot be found in the existing literature. The present Part I deals with foundations of classical string theory in AdS5 × S⁵, lightcone perturbative quantization and derivation of the exact lightcone worldsheet scattering matrix.